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Finding the Fourth Proportional to 1,883.47, 2,825.33 and 697.62

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Solution

The fourth proportional to 1,883.47, 2,825.33 and 697.62 is: 1,046.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.47 : 2,825.33 = 697.62 : x
  2. Step 2: Convert to fraction form
    1,883.47/2,825.33 = 697.62/x
  3. Step 3: Cross multiply
    1,883.47x = 2,825.33 × 697.62
  4. Step 4: Simplify right side
    1,883.47x = 1,971,003.84
  5. Step 5: Solve for x
    x = 1,971,003.84/1,883.47
  6. Step 6: Final answer
    x = 1,046.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.